English

Poincar\'e polynomial for fully commutative elements in the symmetric group

Combinatorics 2020-10-08 v1 Group Theory

Abstract

Let Wc(An)W^c(A_n) be the set of fully commutative elements of the Coxeter group W(An)W(A_n). Let an(q)=wWc(An)ql(w). a_n(q)= \sum_{w \in W^c(A_n)} q^{l(w)} . We compute an(q)a_n(q).

Keywords

Cite

@article{arxiv.2010.03417,
  title  = {Poincar\'e polynomial for fully commutative elements in the symmetric group},
  author = {Sadek AL Harbat and Corinne Blondel},
  journal= {arXiv preprint arXiv:2010.03417},
  year   = {2020}
}
R2 v1 2026-06-23T19:07:52.126Z